_9. In the statement: "If LABC=LDEF, then LDEFLABC, what property is described? A. Reflexive Property B. Substitution Property 10. Given the figure at the right, a ll b and transversal t cut lines a and b. Which pair of angles are alternate interior angles? A. 21 & 27 C. Symmetric Property D. Transitive Property B. 24 & 28 D. 23 & 25 C. 22 & 26

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9. In the statement: "If LABC=LDEF, then ZDEF=LABC. what property is described?
A. Reflexive Property
B. Substitution Property
10. Given the figure at the right, a ll b and transversal t cut lines a and b. Which pair of angles are
alternate interior angles?
A. 41 & 27
C. 22 & 26
_11. Which property of axiomatic system states that all axioms are fundamental truths that do not rely 7
on each other for their existence?
A. complete
_12.Which statement is incorrect about an axiomatic system?
A. It needs mathematical systems.
B. It is necessary and very important factor in writing proofs.
C. It does not build logical arguments.
D. It needs to be consistent, independent, and complete to establish mathematical truth.
C. Symmetric Property
D. Transitive Property
B. 4 & 28
D. 23 & 25
5/6
C. inconsistent
D. independent
B. consistent
13.Consider the axioms below, which are the undefined terms?
Axiom 1. Every ant has at least two paths.
Axiom 2. Every path has at least two ants.
Axiom 3. There exists at least one ant.
C. two
A. ant
_14.Consider the Axiom set, which of the axioms would prove the Theorem: If two distinct lines
intersect, they intersect in exactly one point.
B. path
D. ant and paths
Axiom 1. There exist exactly four points.
Axiom 2. Two distinct points are on exactly one line.
Axiom 3. Each line is on exactly two points
B. Axioms 2 & 3
A. Axioms 1 & 2
C. Axioms 1 & 3
D. Axioms 1,2 &3
_15. Consider the Axiom set, which of the axioms would prove the Theorem: Each two distinct lines are
on exactly one point.
Axiom 1. There exist exactly three distinct points.
Axiom 2. Each two distinct points are on exactly one line.
Axiom 3. Not all the points are on the same line.
Axiom 4. Each two distinct lines are on at least one point.
C. Axioms 1 & 3
A. Axioms 1 & 2
B. Axioms 2 & 3
D. Axioms 4 & 2
Transcribed Image Text:9. In the statement: "If LABC=LDEF, then ZDEF=LABC. what property is described? A. Reflexive Property B. Substitution Property 10. Given the figure at the right, a ll b and transversal t cut lines a and b. Which pair of angles are alternate interior angles? A. 41 & 27 C. 22 & 26 _11. Which property of axiomatic system states that all axioms are fundamental truths that do not rely 7 on each other for their existence? A. complete _12.Which statement is incorrect about an axiomatic system? A. It needs mathematical systems. B. It is necessary and very important factor in writing proofs. C. It does not build logical arguments. D. It needs to be consistent, independent, and complete to establish mathematical truth. C. Symmetric Property D. Transitive Property B. 4 & 28 D. 23 & 25 5/6 C. inconsistent D. independent B. consistent 13.Consider the axioms below, which are the undefined terms? Axiom 1. Every ant has at least two paths. Axiom 2. Every path has at least two ants. Axiom 3. There exists at least one ant. C. two A. ant _14.Consider the Axiom set, which of the axioms would prove the Theorem: If two distinct lines intersect, they intersect in exactly one point. B. path D. ant and paths Axiom 1. There exist exactly four points. Axiom 2. Two distinct points are on exactly one line. Axiom 3. Each line is on exactly two points B. Axioms 2 & 3 A. Axioms 1 & 2 C. Axioms 1 & 3 D. Axioms 1,2 &3 _15. Consider the Axiom set, which of the axioms would prove the Theorem: Each two distinct lines are on exactly one point. Axiom 1. There exist exactly three distinct points. Axiom 2. Each two distinct points are on exactly one line. Axiom 3. Not all the points are on the same line. Axiom 4. Each two distinct lines are on at least one point. C. Axioms 1 & 3 A. Axioms 1 & 2 B. Axioms 2 & 3 D. Axioms 4 & 2
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